Mark the following either true or false. Justification is required. (a) If A = [a₁ a2 a3] and B = [b₁ b2 b3] are 3×3 matrices, then the product is defined to be AB = [a₁b₁ a2b2 a3b3]. (b) For all n x n matrices A and B, AB = BA. (c) If (AB) = CB, then A= C.
Mark the following either true or false. Justification is required. (a) If A = [a₁ a2 a3] and B = [b₁ b2 b3] are 3×3 matrices, then the product is defined to be AB = [a₁b₁ a2b2 a3b3]. (b) For all n x n matrices A and B, AB = BA. (c) If (AB) = CB, then A= C.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Mark the following either true or false. Justification is required.
(a) If A = [a₁ a2 a3] and B = [b₁ b2 b3] are 3×3 matrices,
then the product is defined to be AB = [a₁b₁ a2b2 a3b3].
(b) For all n x n matrices A and B, AB = BA.
(c) If (AB) = CB, then A= C.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F30f79184-3047-455a-b3d8-f2ad47623cdf%2F9a7ca1c0-535b-4e6e-b823-7114c4b0edb5%2F50vlqg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Mark the following either true or false. Justification is required.
(a) If A = [a₁ a2 a3] and B = [b₁ b2 b3] are 3×3 matrices,
then the product is defined to be AB = [a₁b₁ a2b2 a3b3].
(b) For all n x n matrices A and B, AB = BA.
(c) If (AB) = CB, then A= C.
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